The stability condition set by Eq. (REF ) depends on the map's Lyapunov exponent, \(\chi _{dyn}\) , Laplacian matrix's eigenvalues, \(\lbrace \lambda _n\rbrace _{n=1}^{N-1}\) , graph's degree, \(k\) , and coupling strength, \(\epsilon \) . Laplacian eigenvalues are such that \(\lbrace \lambda _n\rbrace _{n=0}^{N-1} = \lbrace  \lambda _0 = 0 < \lambda _F \le \cdots \le \lambda _M \rbrace \) , where \(\lambda _F\)  is the Fiedler eigenvalue [1]}, i.e., smallest non-zero eigenvalue (also known as algebraic connectivity), and \(\lambda _M\)  is the largest eigenvalue. These 2 are the relevant eigenvalues to analyse the synchronisation-manifold's stability [2]}. Hence, we rewrite the condition set by Eq. (REF ) in terms of bounds to \(\lambda _F\)  and \(\lambda _M\)  [3]} by
\(\mathcal {S}_F(\chi _{dyn},\,\epsilon ) < \frac{\lambda _F}{k} \le \frac{\lambda _M}{k} < \mathcal {S}_M(\chi _{dyn},\,\epsilon ),\) 
